4 papers
A Theory of Structural Independence
Matthias Georg Mayer
Structural independence is the (conditional) independence that arises from the structure rather than the precise numerical values of a distribution. We develop this concept and rel…
Factored space models: Towards causality between levels of abstraction
Scott Garrabrant, Matthias Georg Mayer, Magdalena Wache +3
Causality plays an important role in understanding intelligent behavior, and there is a wealth of literature on mathematical models for causality, most of which is focused on causa…
An algorithm for minimum cardinality generators of cones
Matthias Georg Mayer, Fabian von der Warth
This paper presents a novel proof that for any convex cone, the size of conically independent generators is at most twice that of minimum cardinality generators. While this result…
A characterization of mutual absolute continuity of probability measures on a filtered space
Matthias Georg Mayer
We give a new characterization for mutual absolute continuity of probability measures on a filtered space. For this, we introduce a martingale limit that measures the similarit…